Changes

[[Johannes Kepler]] discovered that the [[limit]] of the ratios between succeeding Fibonacci numbers converges to the [[golden ratio]].  Fibonacci numbers also occur in [[Pascal's triangle]] and the run-time analysis of [[Euclid's Algorithm]].

[[Johannes Kepler]] discovered that the [[limit]] of the ratios between succeeding Fibonacci numbers converges to the [[golden ratio]].  Fibonacci numbers also occur in [[Pascal's triangle]] and the run-time analysis of [[Euclid's Algorithm]].

== Examples of Fibonacci Sequences ==

== Example of Fibonacci Sequences ==

* The family trees of honey bees can be depicted using fibonacci numbers because unmated females will always hatch male young, while mated females will always hatch female young

* The family trees of honey bees can be depicted using fibonacci numbers because unmated females will always hatch male young, while mated females will always hatch female young